3(x+11)-2(x+4)=3(x-1)+2(x-2)

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Solution for 3(x+11)-2(x+4)=3(x-1)+2(x-2) equation: 


Simplifying
3(x + 11) + -2(x + 4) = 3(x + -1) + 2(x + -2)

Reorder the terms:
3(11 + x) + -2(x + 4) = 3(x + -1) + 2(x + -2)
(11 * 3 + x * 3) + -2(x + 4) = 3(x + -1) + 2(x + -2)
(33 + 3x) + -2(x + 4) = 3(x + -1) + 2(x + -2)

Reorder the terms:
33 + 3x + -2(4 + x) = 3(x + -1) + 2(x + -2)
33 + 3x + (4 * -2 + x * -2) = 3(x + -1) + 2(x + -2)
33 + 3x + (-8 + -2x) = 3(x + -1) + 2(x + -2)

Reorder the terms:
33 + -8 + 3x + -2x = 3(x + -1) + 2(x + -2)

Combine like terms: 33 + -8 = 25
25 + 3x + -2x = 3(x + -1) + 2(x + -2)

Combine like terms: 3x + -2x = 1x
25 + 1x = 3(x + -1) + 2(x + -2)

Reorder the terms:
25 + 1x = 3(-1 + x) + 2(x + -2)
25 + 1x = (-1 * 3 + x * 3) + 2(x + -2)
25 + 1x = (-3 + 3x) + 2(x + -2)

Reorder the terms:
25 + 1x = -3 + 3x + 2(-2 + x)
25 + 1x = -3 + 3x + (-2 * 2 + x * 2)
25 + 1x = -3 + 3x + (-4 + 2x)

Reorder the terms:
25 + 1x = -3 + -4 + 3x + 2x

Combine like terms: -3 + -4 = -7
25 + 1x = -7 + 3x + 2x

Combine like terms: 3x + 2x = 5x
25 + 1x = -7 + 5x

Solving
25 + 1x = -7 + 5x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-5x' to each side of the equation.
25 + 1x + -5x = -7 + 5x + -5x

Combine like terms: 1x + -5x = -4x
25 + -4x = -7 + 5x + -5x

Combine like terms: 5x + -5x = 0
25 + -4x = -7 + 0
25 + -4x = -7

Add '-25' to each side of the equation.
25 + -25 + -4x = -7 + -25

Combine like terms: 25 + -25 = 0
0 + -4x = -7 + -25
-4x = -7 + -25

Combine like terms: -7 + -25 = -32
-4x = -32

Divide each side by '-4'.
x = 8

Simplifying
x = 8

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